Dynamical systems in the real domain are currently one of the most popular areas of
scientific study. A wealth of new phenomena of bifurcations and chaos has been discovered …

Singular perturbation problems are of common occurrence in all branches of applied
mathematics and engineering. These problems are encountered in various fields such as …

In this paper, we introduce three versions of fractional-order chaotic (or hyperchaotic)
complex Duffing-van der Pol models. The dynamics of these models including their fixed …

Depending on double compound synchronization and compound combination
synchronization, a new kind of synchronization is introduced which is the double compound …

In this article, we introduced fractional and distributed order hyperchaotic Lü, Chen and
Lorenz systems with both line and parabola of equilibrium points (EPs). Their dynamics …

An interesting and challenging research subject in the field of nonlinear dynamics is the
study of chaotic behavior in systems of more than two degrees of freedom. In this work we …

Chaos control and nonlinear dynamics of both real and complex nonlinear oscillators
constitutes some of the most fascinating developments in applied sciences. The chaos …

A general strategy for suppressing chaos in chaotic Burke–Shaw system using integrative
time delay (ITD) control is proposed, as an example. The idea of ITD is that the feedback is …

In this article, we present a generalization of stability theorems for Caputo fractional
derivative to the distributed fractional-order (DFO) case by using the Laplace transform and …

In this paper, the necessary condition for the chaotic motion of a Duffing oscillator with the
fractional‐order derivative under harmonic excitation is investigated. The necessary …